A Remark on the Localization formulas about two Killing vector fields

Abstract

In this article, we will discuss a localization formulas of equivariant cohomology about two Killing vector fields on the set of zero points Zero(XM--1YM)=\x∈ M |YM(x)|=|XM(x)|=0 \. As application, we use it to get formulas about characteristic numbers and to get a Duistermaat-Heckman type formula on symplectic manifold.

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